document.write( "<A HREF=/cgi-bin/jump-to-question.mpl?question=236058>Question 236058</A>: <I><SPAN STYLE=\"word-break: break-all;\"> If the two solutions of a quadratic equation =-4 and 3 and c=4 then how do I solve this problem and write it in standard form? </SPAN>\n" );
document.write( "</I><HR><TABLE width=100%><TR><TD><B><A HREF=http://www.algebra.com/>Algebra.Com's</A> Answer #173872 by </B><A HREF=/tutors/aboutme.mpl?userid=Theo><B>Theo(13342)</B></A><img src=\"/images/stars/stars-13.gif\" alt=\"\" >&nbsp;<A HREF=/tutors/aboutme.mpl?userid=Theo><IMG SRC=http://www.algebra.com/images/aboutme-small.gif BORDER=0 alt=\"About Me\" VALIGN=MIDDLE></A>&nbsp;<IMG SRC=http://www.algebra.com/cgi-bin/show-face.mpl?user=Theo><BR>You can <A HREF=\"/cgi-bin/embed-solution.mpl?show=1&solution=173872\">put this solution on YOUR website!</A><BR><SPAN STYLE=\"word-break: break-all;\"> If the roots are x = -4 and x = 3, then the equation would be:\r<BR>\n" );
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document.write( "(x+4) * (x-3) = 0\r<BR>\n" );
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document.write( "Multiply these factors together to get:\r<BR>\n" );
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document.write( "x^2 + x - 12 = 0\r<BR>\n" );
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document.write( "Since your c factor has to be 4, then you need to divide both sides of this equation by -3 to get:\r<BR>\n" );
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document.write( "-x^2/3 - x/3 + 4 = 0\r<BR>\n" );
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document.write( "This would be the same as:\r<BR>\n" );
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document.write( "-(1/3)*x^2 - (1/3)*x + 4 = 0\r<BR>\n" );
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document.write( "a would be equal to -(1/3)<BR>\n" );
document.write( "b would be equal to -(1/3)<BR>\n" );
document.write( "c would be equal to 4\r<BR>\n" );
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document.write( "If you were given this equation in this form to start with and asked to solve for the roots, you would have done the following:\r<BR>\n" );
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document.write( "Multiply both sides of the equation by (-3) to get:\r<BR>\n" );
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document.write( "x^2 + x - 12 = 0\r<BR>\n" );
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document.write( "Factor this equation to get:\r<BR>\n" );
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document.write( "(x-3) * (x+4) = 0\r<BR>\n" );
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document.write( "Solve for x to get:\r<BR>\n" );
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document.write( "x = 3<BR>\n" );
document.write( "or:<BR>\n" );
document.write( "x = -4\r<BR>\n" );
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document.write( "which is where you started from.\r<BR>\n" );
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document.write( " </SPAN>\n" );
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